Damped Vibration, 1DOF, Worked example, Need help breaking it down.

[Jowin86]

Homework Statement

https://www.physicsforums.com/attachment.php?attachmentid=39373&stc=1&d=1317244721

Homework Equations

In all honesty I am not sure?

The Attempt at a Solution

This question was used as a worked example in my first tutorial for Dynamics. The lecturer didn't break it down into logical steps or explain where he was getting all the formulae he used so I am left with pages of notes that don't make any sense!?

I can't pick out the formulae from the equations or pick out what it is he's done to find k, spring stiffness and C, damper coefficient and then the equation for displacement as a function of time with the few bits of info there are. One thing that puzzles me is the first line is 2Td=4, so Td=2 and I don't know what T or d stand for?

I guess this is asking a lot but if someone could write out the working out step by step so I can go through it a few times and try to learn it it'd be a life saver! Either that or point me in the direction of an example similar to this on the net? At the moment I am trying to find walkthroughs on the net but can't find anything that explains it. Kind of hard to teach yourself something you don't know :(

Thanks for any help!

 

[Spinnor]

See if you can follow this,

http://hyperphysics.phy-astr.gsu.edu/hbase/oscda.html

For more see,

http://www.google.com/search?hl=en&...w.,cf.osb&fp=e6558c79d248f203&biw=721&bih=408

 

[Jowin86]

thanks! That helps a bit but I can't find out what omega(d) is, or what Td is. I've found that T=period...but what's d?? :-/

 

[Jowin86]

Nevermind, omega(d) is damped natural frequency. I am going to ask my lecturer if he can explain it to me next monday :(